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Finding the Fourth Proportional to 1,883.94, 2,826.84 and 789.06

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Solution

The fourth proportional to 1,883.94, 2,826.84 and 789.06 is: 1,183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.94 : 2,826.84 = 789.06 : x
  2. Step 2: Convert to fraction form
    1,883.94/2,826.84 = 789.06/x
  3. Step 3: Cross multiply
    1,883.94x = 2,826.84 × 789.06
  4. Step 4: Simplify right side
    1,883.94x = 2,230,546.37
  5. Step 5: Solve for x
    x = 2,230,546.37/1,883.94
  6. Step 6: Final answer
    x = 1,183.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.